[DTube] Geometric Sequences: The Geometric Mean
In this video, we take looking into the Geometric Mean, which is simply the middle term of 2 successive terms of a Geometric Sequence.
We derive the formula for expressing the geometric mean:
t_n^2 = t_(n-1) * t_(n+1)
Which is, the middle term squared is the product of the two outer terms.
We then use this formula to work through the problem where we have to find the value of x in the sequence:
{x - 1, 3x + 4, 6x +8, ... }
that would satisfy a geometric progression
Sequences & Series
- Geometric Sequences: Find the 4th term given the 7th term
- Geometric Sequences: Find the first term and common ratio
- Geometric Sequences: The Geometric Mean
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